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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2006 • Question 8

Question

Math 6310 • Algebra Fall 2006 • Question 8

Determine (up to isomorphism) all groups \(G\) which satisfy the following condition: there exists a proper subgroup \(H\) of \(G\) which contains all proper subgroups of \(G\).

Raw LaTeX

Determine (up to isomorphism) all groups \(G\) which satisfy the following condition: there
exists a proper subgroup \(H\) of \(G\) which contains all proper subgroups of \(G\).

Topic Tags

Finite Group Theory Normal Subgroups and Commutator Subgroups